An adaptive isogeometric analysis collocation method with a recovery-based error estimator

Yue Jia, Cosmin Anitescu, Yongjie Jessica Zhang, Timon Rabczuk

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)

Abstract

In this paper, we propose an enhanced isogeometric analysis (IGA) collocation method. It is well known that the location of the collocation points plays an important role in the accuracy and stability of IGA collocation methods. This is particularly true for non-uniform meshes and domains generated from multi-patch geometries. We present an enhanced collocation method based on Gauss points, which has improved accuracy as compared to using C1 splines and a recovery-based error estimator that can be derived by sampling the solution at particular points in the domain. Adaptivity is implemented using a hierarchical spline basis, which satisfies the C1 continuity requirement. The proposed approach has been tested by several benchmark problems, including multipatch domains and geometries with re-entrant corners.

Original languageEnglish
Pages (from-to)52-74
Number of pages23
JournalComputer Methods in Applied Mechanics and Engineering
Volume345
DOIs
Publication statusPublished - 2019 Mar 1
Externally publishedYes

Bibliographical note

Funding Information:
Y. Jia was partially supported by the China Scholarship Council (CSC) , the top International University Visiting Program for Outstanding Young scholars of Northwestern Polytechnical University , China, and the Fundamental Research Funds for the Central Universities , China (Nos. 3102017jc01003 , 3102017jc11001 ). Y. Zhang was supported in part by the PECASE award N00014-16-1-2254 (USA), NSF CAREER Award OCI-1149591 (USA) and NSF , USA grant CBET-1804929 . C. Anitescu and T. Rabczuk acknowledge the partial support of the European Union (European Research Council project number 615132 ) and of the German Research Foundation (DFG project number 392023639 ).

Funding Information:
Y. Jia was partially supported by the China Scholarship Council (CSC), the top International University Visiting Program for Outstanding Young scholars of Northwestern Polytechnical University, China, and the Fundamental Research Funds for the Central Universities, China (Nos. 3102017jc01003, 3102017jc11001). Y. Zhang was supported in part by the PECASE awardN00014-16-1-2254 (USA), NSF CAREER AwardOCI-1149591 (USA) and NSF, USA grant CBET-1804929. C. Anitescu and T. Rabczuk acknowledge the partial support of the European Union (European Research Council project number 615132) and of the German Research Foundation (DFG project number 392023639).

Publisher Copyright:
© 2018 Elsevier B.V.

Keywords

  • Error estimation
  • Gaussian-collocation points
  • IGA collocation method
  • Linear elasticity
  • PHT-spline

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • General Physics and Astronomy
  • Computer Science Applications

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